Mathematical Modelling (FSI-PMM)

Academic year 2024/2025
Supervisor: Ing. Vladimír Krutiš, Ph.D.  
Supervising institute: ÚST all courses guaranted by this institute
Teaching language: Czech
Course type: departmental course
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Prerequisites:
 
Course contents:

Due to the development of computer technology, the numerical simulation has become helpful in designing and optimising foundry processes. Mathematical simulation is aimed at the tuning of the designed technology in the phase of production preparation in order to avoid expensive experimental testing. The simulation of foundry processes connects numerical methods, physics and computer technology. It enables the study of processes during melt flow, solidification and cooling of castings.
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Type of course unit:
    Lecture  13 × 1 hrs. compulsory                  
    Computer-assisted exercise  13 × 2 hrs. compulsory                  
Course curriculum:
    Lecture

1. Introduction to numerical simulation of foundry processes.
2. Application of CAD system in foundry processes.
3. Methods of numerical simulation.
4. Basic knowledge of heat transfer.
5. Initial condition definition.
6. Boundary condition definition.
7. Thermo-physical properties.
8. Calculation of porosity defects in casting.
9. Simulation of gravity sand casting technology.
10. Simulation of high and low pressure die casting technology.
11. Investment casting technology.
12. Special processes; semi-solid processes.
13. Post-processing and industrial cases.
    Computer-assisted exercise

1. Geometry design – data import and export.
2. Preparation of surface and volume meshes.
3. Repairing of bad meshes.
4. Definition of initial and boundary conditions.
5. Calculation definition; modules, calculation steps.
6. Examples of gravity casting calculation.
7. Examples of pressure casting calculation.
8. Examples of investment casting calculation.
9. Calculation of special processes.
10. Porosity calculation.
11. Optimisation of gating and feeding systems.
12. Post-processing.
13. Results validation.
Literature - fundamental:
1. BONOLLO, F., ODORIZZI, S. Numerical Simulation of Foundry Processes. 1st ed. Padova: S.G.E., 2001, 264 p. ISBN 88-86281-63-3
2. Nová, I.:Tepelné procesy ve slévárenských formách, TU Liberec, 2003
3. Rappaz M., Dantzig A. : Solidification, 2nd edition. EPFL Press, 2016. ISBN 978-0-84938-238-3
Literature - recommended:
1. Herman, A. a kol.: Počítačové simulace ve slévárenství, Vydavatelství ČVUT, 2000
2. Hattel JH, Pryds N, Thorborg J, Lipinski M, Schneider M, Hattel JH, (ed.).: Fundamentals of Numerical Modelling of Casting Processes. Polyteknisk Forlag, 2005. 540 p.
3. Abhilash E., Joseph M. A.: Modelling and Simulation of Casting Process: an Overview, Indian Foundry Journal, Vol. 55, No.10, 2009, pp 28-37 https://www.researchgate.net/publication/270757498_Modelling_and_Simulation_of_Casting_Process_an_Overview)
The study programmes with the given course:
Programme Study form Branch Spec. Final classification   Course-unit credits     Obligation     Level     Year     Semester  
N-SLE-P full-time study --- no specialisation -- GCr 4 Compulsory 2 1 S
C-AKR-P full-time study CLS -- GCr 4 Elective 1 1 S